3 citations · 7 across the 8 of their papers we have counts for
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math.AP2006
Global existence of null-form wave equations in exterior domains
Jason Metcalfe, Christopher D. Sogge
We provide a proof of global existence of solutions to quasilinear wave equations satisfying the null condition in certain exterior domains. In particular, our proof does not requi…
math.AP2006
On multilinear spectral cluster estimates for manifolds with boundary
Matthew D. Blair, Hart F. Smith, Christopher D. Sogge
We prove sharp bilinear estimates for Dirichlet or Neumann eigenfunctions in domains in the plane. These are the natural analog of earlier estimates for the boundaryless case of Bu…
math.AP2006★ 3 cited
On Strichartz estimates for Schrödinger operators in compact manifolds with boundary
Matthew D. Blair, Hart F. Smith, Christopher D. Sogge
We prove local Strichartz estimates on compact manifolds with boundary. Our results also apply more generally to compact manifolds with Lipschitz metrics.